What is the limit as x approaches 3-of 1/((x-3)^2) ?

The limit as x approaches 3-of 1/((x-3)^2) is infinity

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limit as x approaches 3-of 1/((x-3)^2)

x \to 3 - lim (\frac{1}{( x - 3 ) ^{2}})

\infty

Solution steps

x \to 3 - lim (\frac{1}{( x - 3 ) ^{2}})

For

x

approaching

3

from the left

, x < 3 \Rightarrow (x - 3)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int \frac{1}{2 x 16 x ^{2} - 8} d x

\int 4^{3 x} d x

6 t^{2} + 8

\int \frac{14}{14 + e ^{x}} d x

f (t) = t^{3} - 2 t^{2} + 5 t + 4

What is the limit as x approaches 3-of 1/((x-3)^2) ?
The limit as x approaches 3-of 1/((x-3)^2) is infinity